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Finding the Fourth Proportional to 555.84, 833.34 and 281.80

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Solution

The fourth proportional to 555.84, 833.34 and 281.80 is: 422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.84 : 833.34 = 281.80 : x
  2. Step 2: Convert to fraction form
    555.84/833.34 = 281.80/x
  3. Step 3: Cross multiply
    555.84x = 833.34 × 281.80
  4. Step 4: Simplify right side
    555.84x = 234,835.21
  5. Step 5: Solve for x
    x = 234,835.21/555.84
  6. Step 6: Final answer
    x = 422.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.